210121110101120 has 64 divisors (see below), whose sum is σ = 503000510385600. Its totient is φ = 83934711180288.

The previous prime is 210121110101107. The next prime is 210121110101131. The reversal of 210121110101120 is 21101011121012.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 210121110101095 and 210121110101104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 221661164 + ... + 222607083.

It is an arithmetic number, because the mean of its divisors is an integer number (7859382974775).

Almost surely, 2^{210121110101120} is an apocalyptic number.

210121110101120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210121110101120 is an abundant number, since it is smaller than the sum of its proper divisors (292879400284480).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

210121110101120 is an equidigital number, since it uses as much as digits as its factorization.

210121110101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444269005 (or 444268993 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 210121110101120 its reverse (21101011121012), we get a palindrome (231222121222132).

The spelling of 210121110101120 in words is "two hundred ten trillion, one hundred twenty-one billion, one hundred ten million, one hundred one thousand, one hundred twenty".